Krause's model of opinion dynamics on isolated time scales
Ewa GirejkoFaculty of Computer Science Bialystok University of Technology Białystok 15‐351 PolandLuís MachadoDepartment of Mathematics University of Trás‐os‐Montes e Alto Douro (UTAD) Vila Real 5001‐801 PortugalAgnieszka B. MalinowskaFaculty of Computer Science Bialystok University of Technology Białystok 15‐351 PolandNatália MartinsCIDMA – Center for Research and Development in Mathematics and Applications, Department of Mathematics University of Aveiro Aveiro 3810‐193 Portugal
2016en
ABI
Abstract
We analyze a bounded confidence model, introduced by Krause, on isolated time scales. In this model, each agent takes into account only the assessments of the agents whose opinions are not too far away from its own opinion. We show that the behavior of the model depends strongly on the graininess function μ : If μ takes values in the interval ]0,1], then our discrete time scale model behaves similarly to the classical one, but if μ takes values in ]1,+ ∞ [, then the model has different properties. Simulations are performed to validate the theoretical results. Copyright © 2016 John Wiley & Sons, Ltd.
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